Speaker：Zili Zhang (Tongji University)

Time：2025-12-12 10:30

Location：Conference Room S206 at Experiment Building at Haiyun Campus

Abstract:

The cohomology of even-dimensional full rank Louise-type cluster varieties satisfy the curious hard Lefschetz property. Since curious hard Lefschetz property is rarely observed and strongly related to the P=W identity, we conjecture that there exists a P=W type identity for cluster varieties. In this talk, we will study the cohomology cluster varieties in a more general setting and establish a conjectural P=W type identity. We will also provide various low-dimensional cluster varieties as evidence toward the P=W conjecture for cluster varieties.